We encode a certain class of stochastic fragmentation processes, namely self-similar
fragmentation processes with a negative index of self-similarity, into a metric family tree …

The stable fragmentation with index of self-similarity α∈[− 1/2, 0) is derived by looking at the
masses of the subtrees formed by discarding the parts of a (1+ α)− 1–stable continuum …

We study a natural fragmentation process of the so-called stable tree introduced by
Duquesne and Le Gall, which consists in removing the nodes of the tree according to a …

The basic object we consider is a certain model of continuum random tree, called the stable
tree. We construct a fragmentation process (F−(t), t≥ 0) out of this tree by removing the …

Recursive self-similarity for a random object is the property of being decomposable into
independent rescaled copies of the original object. Certain random combinatorial objects …

We use a natural ordered extension of the Chinese Restaurant Process to grow a two-
parameter family of binary self-similar continuum fragmentation trees. We provide an explicit …

The fragmentation processes considered in this work are self-similar Markov processes
which are meant to describe the evolution of a mass that falls apart randomly as time …

Our main object that we call the Poisson snake is a Brownian snake as introduced by Le
Gall. This process has values which are trajectories of standard Poisson process stopped at …

We consider the height process of a Lévy process with no negative jumps, and its
associated continuous tree representation. Using Lévy snake tools developed by Le Gall-Le …

We introduce a probabilistic model that is meant to describe an object that falls apart
randomly as time passes and fulfills a certain scaling property. We show that the distribution …